Given numbers are 473,214,255,360,300

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 473,214,255,360,300 is 1548696600.

Find LCM of 473,214,255,360,300 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 473 x 107 x 17 x 6 x 5 = 1548696600

Therefore, the lowest common multiple of 473,214,255,360,300 is 1548696600.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

473 x 214 x 255 x 360 x 300 = 2787653880000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

473 : 1, 11, 43, 473

214 : 1, 2, 107, 214

255 : 1, 3, 5, 15, 17, 51, 85, 255

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,214,255,360,300, is 1.

Now, the common factors can be found like this.

473:11x 43

214:2x 107

255:3x 5x 17

360:2x 2x 2x 3x 3x 5

300:2x 2x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2787653880000/(1x1800)

LCM = 2787653880000/1800

LCM = 1548696600

Thus, we can understand that the LCM of 473,214,255,360,300 is 1548696600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 581, 826, 595, 404, 159
• LCM of 562, 197, 776, 510, 622
• LCM of 224, 483, 575, 507, 164
• LCM of 166, 401, 729, 963, 777
• LCM of 439, 219, 998, 183, 765

1. What is the LCM of 473, 214, 255, 360, 300?

Answer: LCM of 473, 214, 255, 360, 300 is 1548696600.

2. How to calculate the LCM of 473, 214, 255, 360, 300?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 473, 214, 255, 360, 300.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.